GCD of 51, 96, 18, 33 Calculator

Given Input numbers are 51, 96, 18, 33

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Greatest Common Divisior

We found the divisors of 51, 96, 18, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 96, 18, 33 is 3.

Therefore, GCD of numbers 51, 96, 18, 33 is 3

Given Input Data is 51, 96, 18, 33

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 51 is 3 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 33 is 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(51, 96) = 1632

GCD(51, 96) = ( 51 x 96 ) / 1632

GCD(51, 96) = 4896 / 1632

GCD(51, 96) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

GCD of 51, 96, 18, 33 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 33, 75, 63
• GCD of 14, 38, 85, 47
• GCD of 68, 35, 98, 86
• GCD of 35, 29, 11, 83
• GCD of 39, 26, 74, 89

1. What is the GCD of 51, 96, 18, 33?

GCD of 51, 96, 18, 33 is 3

2. Where do I get the detailed procedure to find GCD of 51, 96, 18, 33?

You can find a detailed procedure to find GCD of 51, 96, 18, 33 on our page.

3. How to find GCD of 51, 96, 18, 33 on a calculator?

You can find the GCD of 51, 96, 18, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.